A torsional vibration damper or rotationally elastic coupling comprises: an outer housing including a flange; an inner part arranged within and rotatable relative to the outer housing; a plurality of intermediate pieces arranged around the inner part and spaced apart from each other in circumferential direction so as to form a plurality of chambers filled with a damping medium; a plurality of leaf spring assemblies having one or more leaf springs, said leaf spring assemblies being arranged in said chambers and having outer end portions engaging with receptacles formed between neighboring intermediate pieces and inner end portions engaging with the inner part; and a clamping ring extending around the intermediate pieces and the leaf spring assemblies for securing the leaf spring assemblies between the intermediate pieces.